THE EVALUATION OF CONTROLLER TRACKING PERFORMANCE BASED ON TAYLOR’S SERIES EXPANSION MODEL

Authors

  • Maziyah Mat Noh Robotics and Unmanned Research Group (RUS), Instrumentation & Control Engineering (ICE) Cluster, Faculty of Electrical and Electronics Engineering, Universiti Malaysia Pahang, 26600 Pekan, Pahang, Malaysia
  • M. R. Arshad Underwater, Control and Robotics Group (UCRG), School of Electrical and Electronics Engineering, Engineering Campus, Universiti Sains Malaysia (USM), Nibong Tebal, Pulau Pinang, 14300 Malaysia
  • Rosmiwati Mohd-Mokhtar Underwater, Control and Robotics Group (UCRG), School of Electrical and Electronics Engineering, Engineering Campus, Universiti Sains Malaysia (USM), Nibong Tebal, Pulau Pinang, 14300 Malaysia

DOI:

https://doi.org/10.11113/jt.v74.4823

Keywords:

Underwater glider, linearisation, internal mass, longitudinal plane, dynamical model, Taylor’s series expansion, LQR, SMC

Abstract

This paper presents the controller tracking performance of Underwater Glider. The controllers are designed based on linearised model. The equations of motion are restricted to longitudinal plane. The controllers are designed and tested for the glide path moving from 45° to 30° downward and upward. The model is linearised using Taylor’s series expansion linearisation method. The controller developed here is Sliding Mode Control (SMC), and Linear Quadratic Regulator (LQR). The performance of both controllers are compared and analysed. The simulations show SMC produce better performance with about over 30% faster than LQR based its convergence time.

References

Leonard N. E. and Graver, J. G. 2001. Model-based Feedback Control of Autonomous Underwater Gliders. IEEE J. Ocean. Eng. 26(4): 633-645.

N. Mahmoudian and C. A. Woolsey, 2009. Analysis of Feedforward/Feedback Control Design for Underwater Gliders Based on Slowly Varying Systems Theory. AIAA Guidance, Navigation and Control Conference, Chicago, Illinois, 10-13 August.

Isa, K. and Arshad, M. R. 2013. Modeling and Motion Control of a Hybrid-driven Underwater Glider. Indian Journal of Geo-Marine Sciences. 42(8): 971-979.

Mat Noh, R. M. Maziyah, M. N., Arshad, M. R. 2011. Depth and Pitch Control of USM Underwater Glider: Performance Comparison. Indian Journal of Geo-Marine Sciences. 40(2): 200-206.

Yang, H. and Ma, J. 2011. Nonlinear Feedforward and Feedback Control Design for Autonomous Underwater Glider. J. Shanghai Jiaotong Univ. 16(1):11-16.

Isa, K. and Arshad, M. R. 2012. Neural Networks Control of Hybrid-Driven Underwater Glider. OCEANS Yeosu, 21-24 May 2012. 1-7.

Isa, K. and Arshad, M. R. 2013. An Analysis of Homeostatic Motion Control System for a Hybrid-Driven Underwater Glider. 2013 IEEE/ASME Int. Conf. Adv. Intell. Mechatronics, Jul. 2013. 1570-1575.

Tatone, F. Vaccarini, M. and Longhi, S. 2009. Modeling and Attitude Control of an Autonomous Underwater Glider. 8th IFAC Conference on Manoeuvring and Control of Marine Craft, 2009. 217-222.

Shan Y. and Yan, Z. 2013. Model Predictive Control of Underwater Gliders Based on a One-layer Recurrent Neural Network. 2013 Sixth International Conference on Advanced Computational Intelligence (ICACI), Hangzhou, China, 19-21 October 2013. 328-333.

Mat Noh, M. Arshad, M. R. and Mohd-Mokhtar, R. 2011. Modeling of USM Underwater Glider (USMUG). International Conference on Electrical, Control and Computer Engineering Pahang, Malaysia, June 21-22. 429–433.

Ernst Hairer, S. P. N. Gerhard Wanner, 1993. Solving Ordinary Differential Equations I. vol. 8. Springer Link.

M. R. Tailor and Bhathawala, P. H. 2012. Linearization of Nonlinear Differential Equation by Taylor ’ s Series Expansion and Use of Jacobian Linearization Process. International Journal of Theoretical and Applied Science. 4(1):36-38.

Graver, J. G. 2005. Underwater Gliders: Dynamics, Control and Design. Princeton University.

N. Afande, A. Hussain, M. R. Arshad, and R. M. Mokhtar, Development of an Underwater Glider Platform. 2nd Postgraduate Colloquium School of Electrical & Electronic USM, EEPC 2009, 2 November 2009, Malaysia.

Edward C. and Spurgeon, S. K. 1998. Sliding Mode Control: Theory and Applications. CRC Press.

Downloads

Published

2015-06-21

How to Cite

THE EVALUATION OF CONTROLLER TRACKING PERFORMANCE BASED ON TAYLOR’S SERIES EXPANSION MODEL. (2015). Jurnal Teknologi (Sciences & Engineering), 74(9). https://doi.org/10.11113/jt.v74.4823